Question 347206
a) So 5, 6, or 7 people will receive immunity which means 0, 1, or 2 failed.
{{{P(0)=1*0.8^7*0.2^0=0.2097}}}
{{{P(1)=7*0.8^6*0.2^1=0.3670}}}
{{{P(2)=21*0.8^5*0.2^2=0.2753}}}
{{{highlight( P=P(0)+P(1)+P(2)=0.8520)}}}
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b)4 will develop immunity, 3 will fail.
{{{highlight(P(3)=35*0.8^4*0.2^3=0.1147)}}}
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c)7 will develop immunity, 0 will fail.
{{{highlight(P(0)=1*0.8^7*0.2^0=0.2097)}}}